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Finding the Fourth Proportional to 460,535.76, 689,803.74 and 223,380

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Solution

The fourth proportional to 460,535.76, 689,803.74 and 223,380 is: 334,585.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,535.76 : 689,803.74 = 223,380 : x
  2. Step 2: Convert to fraction form
    460,535.76/689,803.74 = 223,380/x
  3. Step 3: Cross multiply
    460,535.76x = 689,803.74 × 223,380
  4. Step 4: Simplify right side
    460,535.76x = 154,088,359,441.20
  5. Step 5: Solve for x
    x = 154,088,359,441.20/460,535.76
  6. Step 6: Final answer
    x = 334,585.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.